10091708795025 has 243 divisors, whose sum is σ = 21528374362131. Its totient is φ = 4513519296000.

The previous prime is 10091708794991. The next prime is 10091708795087. The reversal of 10091708795025 is 52059780719001.

The square root of 10091708795025 is 3176745.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 13 ways, for example, as 9765631250001 + 326077545024 = 3125001^2 + 571032^2 .

It is not a de Polignac number, because 10091708795025 - 2²⁷ = 10091574577297 is a prime.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 242 ways as a sum of consecutive naturals, for example, 6814117285 + ... + 6814118765.

Almost surely, 2^{10091708795025} is an apocalyptic number.

10091708795025 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

10091708795025 is the 3176745-th square number.

10091708795025 is the 1588373-rd centered octagonal number.

It is an amenable number.

10091708795025 is an abundant number, since it is smaller than the sum of its proper divisors (11436665567106).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10091708795025 is a wasteful number, since it uses less digits than its factorization.

10091708795025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3026 (or 1513 counting only the distinct ones).

The product of its (nonzero) digits is 1587600, while the sum is 54.

The spelling of 10091708795025 in words is "ten trillion, ninety-one billion, seven hundred eight million, seven hundred ninety-five thousand, twenty-five".